379647360 has 192 divisors, whose sum is σ = 1380366000. Its totient is φ = 95883264.

The previous prime is 379647353. The next prime is 379647409. The reversal of 379647360 is 63746973.

379647360 is a `hidden beast` number, since 37 + 96 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107706 + ... + 111174.

Almost surely, 2^379647360 is an apocalyptic number.

379647360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690183000).

379647360 is an abundant number, since it is smaller than the sum of its proper divisors (1000718640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379647360 is a wasteful number, since it uses less digits than its factorization.

379647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 379647360 is about 19484.5415650459. The cubic root of 379647360 is about 724.0915200281.

The spelling of 379647360 in words is "three hundred seventy-nine million, six hundred forty-seven thousand, three hundred sixty".